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Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by romaniv on Friday July 10, 2026 @07:09PM (#48866508)
No one here actually cares about Cycle Double Cover Conjecture. I can demonstrate this by pointing out that the only time this conjecture was ever mentioned on the website was 14 years ago in a submission[1] that linked to a (now retracted) proof paper. That story received exactly zero upvotes. No one cared enough to upvote it and no one cared enough to ever mention this conjecture again.

[1] https://news.ycombinator.com/item?id=3556175

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by Sniffnoy on Friday July 10, 2026 @08:18PM (#48867063)
People don't talk about the cycle double cover conjecture here because this isn't a math website. Its lack of mention here is therefore poor evidence.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by bottlepalm on Friday July 10, 2026 @07:49PM (#48866828)
We absolutely care about the implications of AI solving hard problems. I'm sure you can find thousands of posts on HN deriding AI progress the entire time, trivializing it as nothing more than a 'stochastic parrot'
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by itsthecourier on Friday July 10, 2026 @07:12PM (#48866533)
yeah, I think what makes this post different was that AI did it. hopefully science will advance faster in the next decades with AI researchers helping
[dead]
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by phoghed on Friday July 10, 2026 @07:33PM (#48866725)
You honestly think this wouldn’t be upvoted equally or more if a Chinese model did it?
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by topaz0 on Friday July 10, 2026 @07:37PM (#48866763)
Yeah
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by brokencode on Friday July 10, 2026 @07:53PM (#48866864)
There have been multiple posts on here with 800+ upvotes in just the last few weeks for GLM 5.2.

The idea that all this enthusiasm is for certain Silicon Valley billionaires and not from genuine interest in AI technology is a baffling take.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by ai_fry_ur_brain on Friday July 10, 2026 @08:28PM (#48867138)
Im using silicon valley collequially to represent "tech", not as a google maps pin.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by brokencode on Friday July 10, 2026 @08:42PM (#48867245)
So what billionaire are people rooting for when a new GLM comes out?

How many people do you honestly think even know who owns or leads Z.ai?

I certainly don’t.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by topaz0 on Friday July 10, 2026 @10:55PM (#48868238)
To be clear, I am not agreeing that people only upvote their favorite billionaires, just that if this particular thing was done by a Chinese model it would not have gotten the same attention
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by stevenhuang on Saturday July 11, 2026 @01:35AM (#48869082)
> a Chinese model it would not have gotten the same attention

Well, you would be wrong.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by topaz0 on Saturday July 11, 2026 @07:34PM (#48876863)
Interesting point I guess, much to consider
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by brokencode on Sunday July 12, 2026 @04:14PM (#48884309)
Consider actually searching for GLM or other top Chinese models and see how many upvotes they have been getting.

Your claim that Chinese models don’t get as much attention is easily proven false.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by honeycrispy on Friday July 10, 2026 @07:18PM (#48866593)
Hopefully. So far it seems to be doing more harm than good.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by CaptWorld on Saturday July 11, 2026 @02:18AM (#48869288)
What harm? I think the major part of the US economy seems to be depending on AI.. without that, the economy seems bad..
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by kristopolous on Friday July 10, 2026 @07:48PM (#48866820)
The point of this is if AI is solving things that nobody cares about, that's the utility here. It's doing something nobody else wants to bother with
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by perching_aix on Friday July 10, 2026 @08:02PM (#48866933)
Thanks for the fun facts? Indeed, this is not a math forum. Good morning.

> I can demonstrate this [that literally nobody cares about the CDCC here]

No, you cannot. Mindreading the readers of this site by sifting through people's comments is a barely passable proxy for this at best, especially when that audience has changed dramatically over even just those 14 years, and continues to do so.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by onecomment1 on Friday July 10, 2026 @08:50PM (#48867325)
[flagged]
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by 8note on Friday July 10, 2026 @09:30PM (#48867629)
the real world problems we care about are straightforward, the main challenge is wealth distribution and control over the power to do something about them
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by onecomment1 on Friday July 10, 2026 @10:09PM (#48867894)
I agree. We have a coordination problem, and the way our AI lords are proposing to solve this, is by cutting humans out of the equation
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by dang on Friday July 10, 2026 @10:22PM (#48867998)
> What are YOU on about?

Can you please edit out swipes like this from your HN comments? This is in the site guidelines: https://news.ycombinator.com/newsguidelines.html. Your post would be fine without that bit.

Personally I think it's a fallacy to assume that HN users mention everything they care about in HN posts, but that's not a moderation point.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by perching_aix on Friday July 10, 2026 @10:02PM (#48867835)
> If people cared they would [have mentioned it before]. What are YOU on about?

I explained why and how I think this is both wrong (especially in the ridiculously absolute form it was posted in), and a weird point of contention.

This is a tech (startup) forum, with an increasing pull towards more general audiences. Math and sciences have strong ties to tech, but you won't see people discussing specific math conjectures here much, save for the ones that make the popsci or tech mainstream. It is only chance encounters like this where a person from the relevant neck of the woods might engage, provided they happen to be readers here, e.g. because of a passing interest in technology.

Given this, being surprised that you cannot find a mention of this conjecture in the post history of the site is difficult to describe as any kinder than just plain daft.

> If it’s so good at solving hard problems

A problem being hard (in the relevant sense here) doesn't mean they're lucrative to solve, or hold direct and broad societal relevance. Kind of a theme with maths and logic problems, and not by coincidence.

Conversely, a lot of practical hard problems are, well, practical. They're not logically hard, but in some empirical way. You're conflating different avenues of difficulty, and rejecting that there's even a multitude of them.

> Why is there no real world progress on things we do care about?

We?

Well, there's been very real progress on things I - and I'd think most this community - care about. I've been shipping tickets end-to-end with minimal involvement via LLMs agentically for a while now. It's been great, and an honest game changer. I've been delivering faster, more, and better. Exactly what you'd expect from a breakthrough technology: a wholesale improvement across normally competing dimensions. In a number of cases, the difference was outright stepfunction like. That is to say, if it wasn't for these models, they would simply not have happened.

This is its latest iteration and its newest - alleged - tour de force. That's why it's posted here to extensive reception. That it is nice to hear it being a boon in other sectors too. If this somehow escaped you two, I don't know what to tell you.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by onecomment1 on Friday July 10, 2026 @10:33PM (#48868085)
Thank you for taking the time to respond thoroughly. You made me reflect upon my frustrations and anger. I take back my flagrant comment.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by fragmede on Friday July 10, 2026 @09:20PM (#48867567)
Wait, what things do we care about?
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by scarmig on Friday July 10, 2026 @09:27PM (#48867615)
Two years from now, when a proof of the Collatz conjecture is announced and verified:

"No one cares about that! What practical applications does it have? It's pretty trivial anyways. More hype from the AI psychosis crowd."

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by onecomment1 on Friday July 10, 2026 @10:07PM (#48867878)
I don’t care if AI solves the collatz conjecture either, why should I?

If, after stealing all human knowledge, spending $1T+ on compute, hiring the best in the world while also stalling progress in other fields by pulling funding from fundamental research is a bunch of lousy math proofs then thats terrible trade. There is an opportunity cost here.

I don’t have anything against AI, and I do think it will progress a lot just like all other human endeavors. But this doomer permanent underclass humans are worthless myopic view of AI is not where its at

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by whackernews on Friday July 10, 2026 @09:36PM (#48867667)
Materialisation?
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by onecomment1 on Friday July 10, 2026 @10:10PM (#48867898)
Materialization of software?
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by whackernews on Saturday July 11, 2026 @08:53AM (#48871641)
Of matter.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by mohamedkoubaa on Friday July 10, 2026 @08:45PM (#48867273)
Almost sounds like they pointed a prompt at every boondocks conjecture and wrote a press release for the one it plausibly solved.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by jasondigitized on Friday July 10, 2026 @09:10PM (#48867490)
What does that have to do with the feat itself?
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by chaoxu on Friday July 10, 2026 @09:19PM (#48867564)
I care. I was a math student in my undergrad when I try to solve a particular problem on paths, in the end it uses a path version of cycle double cover conjecture (which was solved in the 90s).

https://chaoxu.prof/posts/2013-01-30-there-exist-a-path-of-l...

I also want to get it to work on cycles, but then I hit the cycle double cover conjecture so I gave up.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by deinonychus on Friday July 10, 2026 @09:21PM (#48867579)
i care about the CDCC but every time i post about it dang removes it and bans me
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by lquist on Friday July 10, 2026 @09:25PM (#48867599)
It’s the second most important problem in all of graph theory on this database of open math problems:

https://www.openproblemgarden.org/category/graph_theory?sort...

Obviously not an exact measurement but to give you some sense of the importance of the problem

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by Sniffnoy on Friday July 10, 2026 @10:06PM (#48867863)
I think "importance" here is just being rated as 1 to 4 stars. So it's not "second-most important" but rather "one of the top 5 most important". That doesn't change much, but FWIW.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by p-e-w on Friday July 10, 2026 @10:01PM (#48867827)
Don’t bother. This is the third or fourth time AI has solved an open conjecture, and once again the comment sections everywhere are full of people explaining how this doesn’t really matter at all, how it’s an irrelevant, obscure problem, how any mediocre grad student could probably have solved it if only they had bothered to try, and how of course, human mathematicians will still be vastly superior to machines 100 years from now because they have that magic spark for which nobody can say what it supposedly consists of.

These discussions have nothing to do with mathematics, and everything to do with ego and fear. I’ve never been less impressed with humans than since AI started challenging them.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by cubefox on Saturday July 11, 2026 @02:16AM (#48869275)
This doesn't contradict anything he said though. People on HN care only because an LLM proved a very difficult conjecture, not because we are independently interested in this conjecture.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by derac on Saturday July 11, 2026 @03:53AM (#48869800)
Only? Seems remarkable to me.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by cubefox on Saturday July 11, 2026 @04:06AM (#48869880)
Yes, the fact that an LLM managed to prove the conjecture is remarkable, but presumably you don't find the conjecture itself interesting.
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by stevenhuang on Friday July 10, 2026 @10:47PM (#48868182)
This was one of the most famous open graph theory problems lol. I am not a mathematician and even I ran into this when doing generative map design for game dev.

The only thing you've demonstrated here is some very funny confidently incorrect coping behavior.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by david-gpu on Saturday July 11, 2026 @08:07AM (#48871329)
No one here actually cares about folding laundry. I can demonstrate it by pointing out at the absence of posts on that subject.

...but when an affordable robot that folds laundry becomes available, people here pay attention.

Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by fragmede on Saturday July 11, 2026 @08:17AM (#48871399)
Oh, for laundry to be solved!
Re:GPT-5.6 Sol Ultra produces proof of the Cycle Double Cove... by david-gpu on Saturday July 11, 2026 @09:10AM (#48871760)
Tell me about it! It is endless!